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Finding the Fourth Proportional to 10,732.92, 14,823.54 and 7,324.08

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Solution

The fourth proportional to 10,732.92, 14,823.54 and 7,324.08 is: 10,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.92 : 14,823.54 = 7,324.08 : x
  2. Step 2: Convert to fraction form
    10,732.92/14,823.54 = 7,324.08/x
  3. Step 3: Cross multiply
    10,732.92x = 14,823.54 × 7,324.08
  4. Step 4: Simplify right side
    10,732.92x = 108,568,792.84
  5. Step 5: Solve for x
    x = 108,568,792.84/10,732.92
  6. Step 6: Final answer
    x = 10,115.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.